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A Probabilistic Theory of Pattern Recognition
Preface * Introduction * The Bayes Error * Inequalities and alternatedistance measures * Linear discrimination * Nearest neighbor rules *Consistency * Slow rates of convergence Error estimation * TheExpand
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Non-Uniform Random Variate Generation
This is a survey of the main methods in non-uniform random variate generation, and highlights recent research on the subject. Classical paradigms such as inversion, rejection, guide tables, andExpand
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Combinatorial methods in density estimation
TLDR
A Kernel Estimate for the Expected Maximal Deviation Inequalities . Expand
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A Course in Density Estimation
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Nonparametric Density Estimation
TLDR
This chapter describes the background material related to the nonparametric density estimation. Expand
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Consistency of Random Forests and Other Averaging Classifiers
TLDR
We introduce a number of theorems that establish the universal consistency of averaging rules, including one suggested by Breiman, are not universally consistent. Expand
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A note on the height of binary search trees
  • L. Devroye
  • Mathematics, Computer Science
  • JACM
  • 1 May 1986
TLDR
Let <italic>H<subscrpt>n</subsc Rpt> be the height of a binary search tree with standard insertions from a random permutation of 1, … , and let ∞ be the saturation level of the tree. Expand
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On the Almost Everywhere Convergence of Nonparametric Regression Function Estimates
Let (X, Y), (X1, Y1), .•, (X,, Yn ) be independent identically distributed random vectors from R dxR, and let E(I Y 1 p) < oo for some p > 1 . We wish to estimate the regression function m(x) = E(Y IExpand
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Nonparametric density estimation : the L[1] view
Differentiation of Integrals Consistency Lower Bounds for Rates of Convergence Rates of Convergence in L1 The Automatic Kernel Estimate: L1 and Pointwise Convergence Estimates Related to the KernelExpand
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A simple algorithm for generating random variates with a log-concave density
  • L. Devroye
  • Mathematics, Computer Science
  • Computing
  • 1 September 1984
TLDR
We present a short algorithm for generating random variates with log-concave density from large families of densities. Expand
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